The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  1  1  0  1  1  1  1  1  3  3  3  1  1  1  1  1  1  1  1  1
 0  3 24  0 21 24  0 21 24  9 21 24  6  0 21 12  6  9 24  0 21 12  0 24  6  3  0  6 21 18 12  6 15 12  9 21 12 18 24 21 24  3  6 12 12  6  3 21 24 21 18 12 18 18  3 24  0  9 18
 0  0  9  0  0  0  0 18  9  0  9 18 18  0  0  9  0  0  9 18 18  9  9 18  9  9  9  9  9 18  9  9  0  9 18  0 18 18  0  0 18  0 18  9 18  9  0  9  9 18 18  0  0 18 18 18  9  9  9
 0  0  0  9  0  0  0  0  0 18  0  9 18  9  9  9  9 18  9 18  9  9  0 18 18  0  9 18  9 18 18  0  9 18  0  0  9  9  9 18 18  0  0 18  0  9  0 18  0  0 18  9 18 18  0  0  9  9  0
 0  0  0  0 18  0  9 18  9  9  0  9 18  0 18  0 18  0 18 18  0  0 18  9  0  0 18 18 18 18 18  0  0  9 18 18 18  9  9  9  9  0  9  0 18  9  9  0  0 18 18  0 18  9  9  9  0 18  9
 0  0  0  0  0  9  9  0 18  9  0  0  9  9 18 18  9  9  0 18  0  0 18  9 18  9  9  9  9  9 18  9  9  0  9  0 18 18  9  9  0  9 18 18  9  0  0  0  0 18  0  0 18 18  0  0  9 18  9

generates a code of length 59 over Z27 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+52x^105+42x^106+144x^107+96x^108+156x^109+384x^110+108x^111+492x^112+336x^113+586x^114+1506x^115+1902x^116+2012x^117+2676x^118+3450x^119+2016x^120+1950x^121+522x^122+54x^123+282x^124+378x^125+54x^126+138x^127+108x^128+34x^129+42x^130+60x^131+20x^132+6x^133+6x^134+34x^135+16x^138+4x^141+6x^144+4x^147+2x^150+2x^153+2x^159

The gray image is a code over GF(3) with n=531, k=9 and d=315.
This code was found by Heurico 1.16 in 2.11 seconds.